Stationary distribution and extinction of a three-species food chain stochastic model

IF 0.3 Q4 MATHEMATICS
Yonggang Ma , Qimin Zhang
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引用次数: 4

Abstract

In this paper, we investigate long-time behaviour of a stochastic three-species food chain model. By Markov semigroups theory, we prove that the densities of this model can converge to an invariant density or can converge weakly to a singular measure in L1 under appropriate conditions. Further, several sufficient conditions for the extinction of the three species were obtained. Finally, numerical simulations are carried out to illustrate our theoretical results.

一个三物种食物链随机模型的平稳分布和灭绝
本文研究了一个随机三物种食物链模型的长期行为。利用马尔可夫半群理论,证明了该模型的密度在适当条件下可以收敛于不变密度或弱收敛于L1中的奇异测度。进一步得到了这三个物种灭绝的几个充分条件。最后,通过数值模拟验证了本文的理论结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
0.50
自引率
50.00%
发文量
0
审稿时长
22 weeks
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